"Honestly, I hate that this happened. But it is what it is. You deal with it. I realized that, obviously, I'm not perfect, in this ongoing struggle, battle, that is very real. A lot of people don't understand how real it is."
The photos were posted by Deadspin.com on Saturday morning.
Hamilton, 28, won't face discipline from the Rangers as a result of the incident. Hamilton told the team of the incident the next day.
Hamilton was chosen as the No. 1 pick by the Tampa Bay Rays as an 18-year-old in 1999.
Out of baseball for three years while serving suspensions and getting clean, Hamilton reached the majors in 2007 with the Cincinnati Reds. He was traded to Texas in December 2007 for pitcher Edinson Volquez.
Information from The Associated Press was used in this report.